# SOLUTION: Complete the square as an aid in graphing y = -2x^2 + 8x - 6

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 Click here to see ALL problems on Graphs Question 66232This question is from textbook An Incremental Development : Complete the square as an aid in graphing y = -2x^2 + 8x - 6 This question is from textbook An Incremental Development Answer by tutorcecilia(2152)   (Show Source): You can put this solution on YOUR website!y = -2x^2 + 8x - 6 [Eliminate the lead coefficient by dividing all terms by -2] -2x^2/-2 + 8x/-2 - 6/-2=0 [Set the equation equal to zero] x^2 -4x +3-3=0=-3 [Subtract the "C" term from both sides of the eqaution] x^2 -4x =-3 [Divide the "B" term by 2 and raise it to the 2nd power. Add the result to both sides of the equation] . x^2 -4x +(4/2)^2=-3+(4/2)^2 x^2 -4x +2^2=-3+2^2 [Simplify] x^2 -4x +2^2=-3+4 (x-2)(x-2)=1 [Factor the left side] (x-2)^2=1 sqrt(x-2)^2=sqrt(1) [Take the square root of both sides] x-2=+-1 [Solve for x] So, x=2+1=3 or x=2-1=1 Check by plugging the values of x back into the original equation.